Pith Number

pith:6ISP52D4

pith:2010:6ISP52D4TTHD7E3RP5DQCCQJ5P

not attested not anchored not stored refs pending

Direct spreading measures of Laguerre polynomials

D. Manzano, J.S. Dehesa, P. S\'anchez-Moreno

arxiv:1009.0289 v2 · 2010-09-01 · math-ph · cs.IT · math.IT · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ISP52D4TTHD7E3RP5DQCCQJ5P}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:39:19.326061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f224fee87c9cce3f93717f47010a09ebec2d2a2763f3bb4761fde17fdf4b640b

Aliases

arxiv: 1009.0289 · arxiv_version: 1009.0289v2 · doi: 10.48550/arxiv.1009.0289 · pith_short_12: 6ISP52D4TTHD · pith_short_16: 6ISP52D4TTHD7E3R · pith_short_8: 6ISP52D4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6ISP52D4TTHD7E3RP5DQCCQJ5P \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f224fee87c9cce3f93717f47010a09ebec2d2a2763f3bb4761fde17fdf4b640b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14970367302965e385eaf2c252854173e835ad267772406ff9847f74b5b63d35",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-01T21:47:23Z",
    "title_canon_sha256": "ee0182748cfbe925624ba308c427a4abaa29f83396e25abe43a2f087b364cec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0289",
    "kind": "arxiv",
    "version": 2
  }
}